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Solve : (x + y) (dx – dy) = dx + dy. [Hint: Substitute x + y = z after separating dx and dy]
Solve : (x + y) (dx – dy) = dx + dy. [Hint: Substitute x + y = z after separating dx and dy]
CBSE | Class 12 | Differential Equations | Exercise 1 | Maths | NCERT Exemplar
Solve : (x + y) (dx – dy) = dx + dy. [Hint: Substitute x + y = z after separating dx and dy]

According to ques,

or, \[\left( x~+~y \right)\text{ }\left( dx~~dy \right)\text{ }=~dx~+~dy\]

\[\left( x\text{ }+\text{ }y \right)\text{ }dx\text{ }\text{ }\left( x\text{ }\text{ }y \right)\text{ }dy\text{ }=\text{ }dx\text{ }+\text{ }dy\]

or, \[\text{ }\left( x\text{ }+\text{ }y \right)\text{ }dy\text{ }\text{ }dy\text{ }=\text{ }dx\text{ }\text{ }\left( x\text{ }+\text{ }y \right)\text{ }dx\]

hence

\[\text{ }\left( x\text{ }+\text{ }y\text{ }+\text{ }1 \right)\text{ }dy\text{ }=\text{ }\text{ }\left( x\text{ }+\text{ }y\text{ }\text{ }1 \right)\text{ }dx\]

NCERT Exemplar Solutions Class 12 Mathematics Chapter 9 - 36

 

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